Reconstruction of vector field from spherical harmonic coefficients

ronslow · Oct 26, 2008

The JGM3 model of Earth's gravity is expressed in the form of coefficients C and S to Legendre polynomials in r, theta and phi which give the gravitational potential

U = [tex]\sum[/tex][tex]\sum[/tex] CV + SW

Can anyone tell me the algorithm for calculating acceleration vector g(r, theta, phi) from the coefficients, i.e. [tex]\Delta[/tex].U expressed as a polar vector?

Thanks

Robert

ronslow · Oct 28, 2008

Answer here:
http://homepage.mac.com/hanspeterschaub/work/Papers/UnderGradStudents/MagneticField.pdf

Reconstruction of vector field from spherical harmonic coefficients

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Reconstruction of vector field from spherical harmonic coefficients

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